This invention relates to a hearing device for compensating hearing impairment of a user. The hearing device comprises an input signal converter for converting an acoustic signal to an electric signal, a signal processor, an output signal converter for converting a processed signal to a processed acoustic signal presented to the user, and an adaptive feedback suppression unit compensating for acoustic feedback between the output signal converter and the input signal converter and to generate a feedback compensation signal, which is mixed with the electric signal from the input signal converter to provide a compensated electric signal. The signal processor is adapted to process the compensated electric signal and to generate a processed signal therefrom. The hearing device further comprises an open loop approximation unit adapted to monitor relation between the compensated electric signal and the processed signal, and adapted to generate a control signal based on the relation, the control signal controlling the signal processor and/or the adaptive feedback suppression unit.